Use the formula an = aj(r)a- to write a formula for the geometric sequence below.
3, 6, 12, 24, 48, ...
Answers
Answer:
[tex]a_{n}[/tex] = 3[tex](2)^{n-1}[/tex]
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
6 ÷ 3 = 12 ÷ 6 = 24 ÷ 12 = 48 ÷ 24 = 2
This indicates the sequence is geometric with n th term
[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 3 and r = 2 , thus
[tex]a_{n}[/tex] = 3[tex](2)^{n-1}[/tex]
Related Questions
Who was Genghis Khan and how did he and
his Mongol armies impact Japan?
Answers
Answer:
Genghis Khan, the leader of the Mongolian army, began his campaign to take over the known world in 1206 CE. Within 50 years, Genghis Khan and his ferocious mounted warriors had extended their Mongolian empire throughout China and Korea in the east and as far as Poland and Russia in the west. After awhile, lost power as many warlords fell into bankruptcy.
No. 2 BAC and 2 CAD remain congruent, and m 2 DAB is still the sum of mZBAC and m2 CAD.
AN
Question 4
Move point C so that ZBAC and CAD form a pair of supplementary angles, or angles whose sum is 180°. Record each of the angle measurements
for this case.
Answers
Answer:
I’m srry I don’t know about question 2 but here’s the answer to Question 4
When the two angles are supplementary, m<BAC = m<CAD = 90° and m<DAB = 180°
Step-by-step explanation:
Answer from Plato
Answer:
No. ∠BAC and ∠CAD remain congruent, and m∠DAB is still the sum of m∠BAC and m∠CAD.
Step-by-step explanation:
This is the answer for question 2
Aaron invested $7,500 in an account paying an interest rate of 1.5% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 8 years?
Answers
Answer: 8500
Step-by-step explanation:
\text{Compounded Continuously:}
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=7500\hspace{35px}r=0.015\hspace{35px}t=8
P=7500r=0.015t=8
Given values
A=7500e^{0.015(8)}
A=7500e
0.015(8)
Plug in
A=7500e^{0.12}
A=7500e
0.12
Multiply
A=8456.22638685
A=8456.22638685
Use calculator (with e button)
A\approx 8500
A≈8500
Round to nearest hundred dollars
What is the definition of no solution?
Answers
Answer:
No solution would mean that there is no answer to the equation.
Step-by-step explanation:
It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true.
There is no answer to that problem. There is either a critical error in the problem, or it's just impossible to calculate. For example, x/0 is literally nothing. You can't solve it.
Diep is saving money so he can buy a used car in 12 months . The total cost of the car he wants is $1450. Diep determines that he needs to save $120 each month to be able to afford the car what error did diep make
Answers
Answer:
He is a little off so if you use a calculater (dont know if your teacher allows you to but my teacher says they only work if you know how) youll get a little over 120 so you would need (if you round up) 121 Hope this helps sorry if im wrong :)
Sarah purchased $28.75 worth of coffee that sold for $11.50 per pound. How
many pounds of coffee did Sarah buy?
Answers
Answer:
She bought 2.5 pounds
Answer:
2.5 lb
Step-by-step explanation:
If Sarah has not made any loss or profit then amount of coffee = total cost/cost per pound 28.75/11.5= 2.5
SOMEONE PLLLLZZZ HELP MMEEE!!!III BBEEGGGGG UUU!!!!
Answers
Answer:
y = x + 2
Step-by-step explanation:
Used slope formula to get a slope of 1
Line crosses y axis at (0,2)
I think. I was just doing this an hour ago. But you are first meant to find the gradient. Then you create the equation.
Read my notes
Need help on these 2 questions please??? 14 points ?
Answers
Answer:
8 is congruent 9 isnt
Step-by-step explanation:
Answer: 8. is Congruent and 9. Isn't Congruent
Step-by-step explanation:
3(x+-10)=5(2x+8) Honestly I hate math lol.
Answers
x = -10
Use the distributive property to multiply 3 by x−10
3x−30=5(2x+8)
Use the distributive property to multiply 5 by 2x+8
3x−30=10x+40
Subtract 10x from both sides
3x−30−10x=40
Combine 3x and −10x to get −7x.
−7x−30=40
Add 30 to both sides
−7x=40+30
Add 40 and 30 to get 70
−7x=70
Divide both sides by −7
x= 70/-7
Divide 70 by −7 to get −10
Hope this helps :)
Answer:
- 10
Step-by-step explanation:
Step 1:
3 ( x - 10 ) = 5 ( 2x + 8 ) Equation
Step 2:
3x - 30 = 10x + 40 Multiply
Step 3:
- 30 = 7x + 40 Subtract 3x on both sides
Step 4:
- 70 = 7x Subtract 40 on both sides
Step 5:
x = - 70 ÷ 7 Divide
Answer:
x = - 10
Hope This Helps :)
I NEED HELP PLZ HELP MEEEEEE!!!!!!!!
Answers
Answer:
54 people were originally in the room.
Step-by-step explanation:
18=2/3 of the half not dancing
(18/2)(3)=27
27 is the 1/2 population or 27=1/2
(27/1)(2)=54
54 people were originally in the room.
Step-by-step explanation:
18=2/3 of the half not dancing
(18/2)(3)=27
27 is the 1/2 population or 27=1/2
(27/1)(2)=54
238 x 13 please explain the steps too
Answers
Answer:
3094
Step-by-step explanation:
The way that I'm going to do it it's not the traditional
[tex]238\cdot13\\\\\longrightarrow 13=10+3\\\\\Rightarrow 238\cdot(10+3)\\\\=238\cdot(10)+238\cdot(3)\\\\=2380+238\cdot (3)\\\\=2380+(200+30+8)(3)\\\\=2380+(200)(3)+(30)(3)+8(3)\\\\=2380+600+90+24\\\\=2980+90+24\\\\=3004+90\\\\=3094[/tex]
please help! thank you!
Answers
Answer:
I believe the answer is c not a hundred percent sure
Find the missing side I’m almost done
Answers
Answer:
the answer is a
Step-by-step explanation:
Answer:
The answer is A...
Is right
Please help me find the roots of the quadratic equation
I will give brainlist. worth 29 points, no trolls.
Answers
Answer:
[tex]\frac{x-1}{x-2} +\frac{x-3}{x-4}= \frac{(3\frac{1}{3})(x) }{n} (2.71828224)[/tex]
hope it helps
Jada is making lemonade for a get-together with her friends. She expects a total of 5 to 8 people to be there (including herself). She plans to prepare 2 cups of lemonade for each person. The lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. Each quart is equivalent to 4 cups. Let represent the number of people at the get-together, the number of cups of water, the number of scoops of lemonade powder. Select all the mathematical statements that represent the quantities and constraints in the situation.
Answers
Answer: B,C,D,F
Step-by-step explanation:
All the correct mathematical statements that represent the quantities and constraints in the given situation are;
Option B; 5 ≤ n ≤ 8
Option C; c = 2n
Option D; l = c
Option F; 10 ≤ l ≤ 16
We are told that;
n = the number of people
c = the number of cups
l = the number of scoops of lemonade powder.
We are told that number of people is a total of between 5 to 8 people. Thus, the inequality to represent this is; 5 ≤ n ≤ 8We are told that she wants to prepare 2 cups of lemonade for each person. This means when n = 1, c = 2 ; when n = 2, c = 4. Thus, this can be expressed as; c = 2nWe are told that the lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. That means 4 lemonade powder scoops = 4 cups. This can be expressed as; 4l = 4c. This can be simplified to; l = c
Since she is expecting between 5 to 8 people including herself. 2 lemonade scoops per person means;
the least amount of lemonade = 5 × 2 = 10
the maximum lemonade = 8 × 2 = 16
This can be written in inequality form as;
10 ≤ l ≤ 16
The only options that correspond with all the inequalities gotten above are; Options B, C, D, F.
Read more at;
Which polygon has two or more right angles?
Answers
Answer:
c
Step-by-step explanation:
75 Points! Don't waste my time for points or you will be reported. Looking for math experts.
On a coordinate grid, point A is at (−2.0, −3.4) and point B is at (2.0, −3.4). Point B is a reflection of point A across the ___–axis. Input either a lowercase x or y.
Answers
explanation: if you reflect across the y-axis, then the x-value changes and the y-value stays the same
Answer:
y
Step-by-step explanation:
$4,200 with a 35% markdown
Answers
Answer:
1, 470
Step-by-step explanation:
4,200 * 0.35 = 1, 470
Answer:
2730 dollars
Step-by-step explanation:
35% of 4,200 is 1,470 so you want to subract 4,200 - 1470 = 2730
A camera is marked down from $36 to $27. What is the percent of the markdown
Answers
Answer:
75%
Step-by-step explanation:
You have to put 27/36 and multiply 27/36 by 100/1 and then you get 2700/36 and divide it and you get 75 so that is how you get 75%
What is the system of measurement used most often in the United States?
A: customary
B: converted
C: metric
D: similar
Answers
Answer:
A: Customary
Step-by-step explanation:
United States customary units (U.S. customary units) are a system of measurements commonly used in the United States since it was formalized in 1832.
the answer is:
A: customary
Yw!!!
hey diddle diddle, the median's the middle; you add and divide for the mean. The mode is the one that appears the most,and the range is the difference between.
2,49,15,9
Mean:
Median:
Mode:
Range:
Answers
Answer:
Ig?
Step-by-step explanation:
Determine the correct answer when you round to the nearest hundred. "5,264"
I need an answer as soon as possible, please.
Answers
Answer:
5,300
Step-by-step explanation:
5 or more raise the score, 4 or less let it rest.
Answer:
5,300
Step-by-step explanation:
buddy im not sure if this is right but i want you to knwo that no one is perfect and i tried plz and thank you
56 equals 128 reduced by z
Write the sentence as an equation.
Answers
Answer:
56 = 128-z
Step-by-step explanation:
Answer:
128-z=58
z=70
Step-by-step explanation:
volume question............
Answers
Answer:
165.65
Step-by-step explanation:
Toda me an my mom wen to ga staton to get a dink it was a goo drihk then wee pla batepall but mi mom no rich we has ghood tyme.
Answers
Answer:
hahaha
Step-by-step explanation:
Help please this is due at 2:00 :(
Answers
Answer: your independent variable will be the group that receives the placebo. the dependent variable would be the group that received serum B, and your experimental group are the agents from both groups. I say that because both groups received the experimental serum, whereas the first group got a placebo. not sure if your teacher only wants one answer for each questions, but this is what I believe to be correct.
Step-by-step explanation:
Given f(x) = -7x + 9, what is the slope and y-intercept?
Answers
Answer:
7x is the slope,9 is the y-intercept
Step-by-step explanation:
7x is the constant/unit rate,9 is what gets added after which makes the expression non-proportional.
Ron is saving money for college. Each month he deposits 10% of his net income plus
an additional $50 into a savings account. His net income, after taxes have been taken
out, is 80% of his gross income. Find the amount that Ron saves a month when his
gross income is $2400.
Answers
Answer:
$242
Step-by-step explanation:
His Gross income a month is $2400.
Now, we are told that his net income, after taxes have been taken out, is 80% of his gross income.
Thus;
Net income a month = 80% × 2400 = $1920
Now, Each month he deposits 10% of his net income plus an additional $50 into a savings account.
This means amount saved each month is = (10% × 1920) + 50 = 192 + 50 = $242
help me please i am very lost but i am trying
Answers
Answer:
3.
A) is a function because each x goes the one of the ys
B) is not a function due to the x repeating. u can't have that
4.
yes it represents a function cause it passes the vertical line test.
I just took a science test and got a 80% on the test. CBA's are 50% of our grade and I had a 98% in science class. How much will my grade drop?, what will my new grade be?
Answers
Answer:
89%
Step-by-step explanation:
Answer:
Grade drops 9 percentage points.
New overall grade is 89%
Step-by-step explanation:
The test with a score of 80% accounts for 50% of the grade.
The current average of 98% accounts for the other 50% of the grade.
50% of 80% + 50% of 98% =
= 40% + 49%
= 89%
The new overall grade is 89%.
Since the previous overall grade, before the test, was 98%,
and 98% - 89% = 9%, then
the new grade is 9 percentage points lower than the previous overall grade.